1. **State the problem:** We are given the midpoint $M(11.5, 4)$ of segment $VW$ and one endpoint $V(9, 3)$. We need to find the coordinates of the other endpoint $W$. 2. **Formula for midpoint:** The midpoint $M$ of a segment with endpoints $V(x_1, y_1)$ and $W(x_2, y_2)$ is given by $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. **Set up equations:** Using the given midpoint and endpoint, we have $$11.5 = \frac{9 + x_2}{2}$$ $$4 = \frac{3 + y_2}{2}$$ 4. **Solve for $x_2$:** Multiply both sides by 2 $$2 \times 11.5 = 9 + x_2$$ $$23 = 9 + x_2$$ Subtract 9 from both sides $$23 - 9 = \cancel{9} + x_2 - \cancel{9}$$ $$14 = x_2$$ 5. **Solve for $y_2$:** Multiply both sides by 2 $$2 \times 4 = 3 + y_2$$ $$8 = 3 + y_2$$ Subtract 3 from both sides $$8 - 3 = \cancel{3} + y_2 - \cancel{3}$$ $$5 = y_2$$ 6. **Final answer:** The coordinates of the other endpoint $W$ are $$W = (14, 5)$$